Question

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a rectangular park is 65 yards wide and 115 yards long. give the length and width of another rectangular park that has the same perimeter but a larger area. width = yards length = yards

Explanation:

Step1: Calculate original perimeter

$P = 2(65 + 115)=360$ yards

Step2: Recall area - perimeter relation

For a rectangle, area is maximized when it's a square for a fixed perimeter. So side length of square - like rectangle $s=\frac{360}{4} = 90$ yards.

Answer:

width = 90 yards
length = 90 yards